Finding the Third Proportional to 42,074 and 64,691

Step by Step Solution

1. Step 1: Write the proportion equation
   42,074 : 64,691 = 64,691 : x
2. Step 2: Convert to fraction form
   42,074/64,691 = 64,691/x
3. Step 3: Cross multiply
   42,074x = 64,691 × 64,691
4. Step 4: Simplify right side
   42,074x = 4,184,925,481
5. Step 5: Solve for x
   x = 4,184,925,481/42,074
6. Step 6: Final answer
   x = 99,465.83